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Finding the Fourth Proportional to 100,981.70, 151,472.55 and 34,496.90

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Solution

The fourth proportional to 100,981.70, 151,472.55 and 34,496.90 is: 51,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,981.70 : 151,472.55 = 34,496.90 : x
  2. Step 2: Convert to fraction form
    100,981.70/151,472.55 = 34,496.90/x
  3. Step 3: Cross multiply
    100,981.70x = 151,472.55 × 34,496.90
  4. Step 4: Simplify right side
    100,981.70x = 5,225,333,410.10
  5. Step 5: Solve for x
    x = 5,225,333,410.10/100,981.70
  6. Step 6: Final answer
    x = 51,745.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.